Please solve this equation algebraically. 9(b - 4) - 7b = 5(3b -2)

And show your work.

b  = -2

Step-by-step explanation:

  Given expression:

        9(b - 4) - 7b = 5(3b -2)

Using distributive properties, open the parentheses;

     9b - 36 - 7b = 15b - 10

      2b - 36 = 15b -10

 collect like terms;

       2b - 15b  = - 10 + 36

          -13b = 26

Divide both sides by -13;

      b  = -2

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step-by-step explanation:

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.